LAW OF LARGE NUMBERS FOR CERTAIN CYLINDER FLOWS
Enrique Pujals | Cirilo, Patricia | Lima, Yuri
We construct new examples of cylinder flows, given by skew prod- uct extensions of irrational rotations on the circle, that are ergodic and rationally ergodic along a subsequence of iterates. In particular, they exhibit law of large numbers. This is accomplished by explicitly calculating, for a subsequence of iterates, the number of visits to zero, and it is shown that such number has a gaussian distribution.